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Volumn 28, Issue 1, 2000, Pages 277-302

Central limit theorems for additive functionals of the simple exclusion process

Author keywords

Associated; Central limit theorem; FKG; Invariance principle; Second class particles; Simple exclusion process

Indexed keywords


EID: 0034336981     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/aop/1019160120     Document Type: Article
Times cited : (37)

References (15)
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    • Kipnis, C.1
  • 4
    • 0003044186 scopus 로고
    • Fluctuations des temps d'occupation d'un site dans l'exclusion simple symmetrique
    • KIPNIS, C. (1987). Fluctuations des temps d'occupation d'un site dans l'exclusion simple symmetrique. Ann. Inst. H. Poincaré Sec. B 23 21-35.
    • (1987) Ann. Inst. H. Poincaré Sec. B , vol.23 , pp. 21-35
    • Kipnis, C.1
  • 5
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    • Central limit theorem for additive functionals of reversible Markov processes
    • KIPNIS, C. and VARADHAN, S. R. S. (1986). Central limit theorem for additive functionals of reversible Markov processes. Comm. Math. Phys. 104 1-19.
    • (1986) Comm. Math. Phys. , vol.104 , pp. 1-19
    • Kipnis, C.1    Varadhan, S.R.S.2
  • 6
    • 0031184915 scopus 로고    scopus 로고
    • Fluctuation-dissipation equation of asymmetric simple exclusion processes
    • LANDIM, C. and YAU, H. T. (1997). Fluctuation-dissipation equation of asymmetric simple exclusion processes. Probab. Theory Related Fields 108 321-356.
    • (1997) Probab. Theory Related Fields , vol.108 , pp. 321-356
    • Landim, C.1    Yau, H.T.2
  • 8
    • 0002733273 scopus 로고
    • A general central limit theorem for FKG systems
    • NEWMAN, C. M. (1983). A general central limit theorem for FKG systems. Comm. Math. Phys. 91 75-80.
    • (1983) Comm. Math. Phys. , vol.91 , pp. 75-80
    • Newman, C.M.1
  • 9
    • 0001478817 scopus 로고
    • Asymptotic independence and limit theorems for positively and negatively dependent random variables
    • IMS, Hayward, CA
    • NEWMAN, C. M. (1984). Asymptotic independence and limit theorems for positively and negatively dependent random variables. In Inequalities in Statistics and Probability 127-140. IMS, Hayward, CA.
    • (1984) Inequalities in Statistics and Probability , pp. 127-140
    • Newman, C.M.1
  • 10
    • 0001256747 scopus 로고
    • Associated random variables and martingale inequalities
    • NEWMAN, C. M. and WRIGHT, A. L. (1982). Associated random variables and martingale inequalities. Z. Wahrsch. Verw. Gebiete 59 361-371.
    • (1982) Z. Wahrsch. Verw. Gebiete , vol.59 , pp. 361-371
    • Newman, C.M.1    Wright, A.L.2
  • 11
  • 12
    • 0000528853 scopus 로고
    • A limit theorem for the position of a tagged particle in a simple exclusion process
    • SAADA, E. (1987). A limit theorem for the position of a tagged particle in a simple exclusion process. Ann. Probab. 15 375-381.
    • (1987) Ann. Probab. , vol.15 , pp. 375-381
    • Saada, E.1
  • 13
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    • Diffusive limit of a tagged particle in asymmetric simple exclusion processes
    • To appear
    • SETHURAMAN, S., VARADHAN, S. R. S. and YAU, H. T. (1999). Diffusive limit of a tagged particle in asymmetric simple exclusion processes. Comm. Pure Appl. Math. To appear.
    • (1999) Comm. Pure Appl. Math.
    • Sethuraman, S.1    Varadhan, S.R.S.2    Yau, H.T.3
  • 14
    • 0030356324 scopus 로고    scopus 로고
    • A central limit theorem for reversible exclusion and zero-range particle systems
    • SETHURAMAN, S. and XU, L. (1996). A central limit theorem for reversible exclusion and zero-range particle systems. Ann. Probab. 24 1842-1870.
    • (1996) Ann. Probab. , vol.24 , pp. 1842-1870
    • Sethuraman, S.1    Xu, L.2
  • 15
    • 0000631918 scopus 로고
    • Self-diffusion of a tagged particle in equilibrium for asymmetric mean zero random walk with simple exclusion
    • VARADHAN, S. R. S. (1995). Self-diffusion of a tagged particle in equilibrium for asymmetric mean zero random walk with simple exclusion. Ann. Inst. H. Poincaré 31 273-285.
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    • Varadhan, S.R.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.